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Finding the Third Proportional to 20,197 and 31,001

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Solution

The third proportional to 20,197 and 31,001 is: 47,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197 : 31,001 = 31,001 : x
  2. Step 2: Convert to fraction form
    20,197/31,001 = 31,001/x
  3. Step 3: Cross multiply
    20,197x = 31,001 × 31,001
  4. Step 4: Simplify right side
    20,197x = 961,062,001
  5. Step 5: Solve for x
    x = 961,062,001/20,197
  6. Step 6: Final answer
    x = 47,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.